Linear orthotropic viscoelasticity model for fiber reinforced thermoplastic material based on Prony series

Endo, Vitor Takashi; Pereira, José Carlos

doi:10.1007/s11043-016-9326-8

Cited by 20 publications

(18 citation statements)

References 25 publications

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“…The elastic modulus of each sample was determined by the slope of the linear region (in the strain range of 0-0.15) in the stress-strain curve. The in-plane shear moduli of these PEGDA-ASF samples were calculated using the 45°off-axis tension method as previously described [20]. Moreover, the shape change of a markline in the middle position of the sample through the tensile test was recorded by a CCD camera (Nikon D5200, Tokyo, Japan) ( Fig.…”

Section: Mechanical Testsmentioning

confidence: 99%

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Bio-inspired anisotropic polymeric heart valves exhibiting valve-like mechanical and hemodynamic behavior

et al. 2019

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Native heart valve leaflets with layered fibrous structures show anisotropic characteristics, allowing them to withstand complex mechanical loading for long-term cardiac cycles. Herein, two types of silk fibroin (SF) fiber membranes with anisotropic (ASF) and isotropic (ISF) properties were prepared by electrospinning, and were further combined with poly(ethylene glycol) diacrylate (PEGDA) hydrogels to serve as polymeric heart valve (PHV) substitutes (PEGDA-ASF and PEGDA-ISF). The uniaxial tensile tests showed obvious anisotropy of PEGDA-ASF with elastic moduli of 10.95±1.09 and 3.55±0.32 MPa, respectively, along the directions parallel and perpendicular to the fiber alignment, while PEGDA-ISF possessed isotropic property with elastic moduli of 4.54± 0.43 MPa. The PHVs from both PEGDA-ASF and PEGDA-ISF presented appropriate hydrodynamic properties from pulse duplicator tests according to the ISO 5840-3 standard. However, finite element analysis (FEA) revealed the anisotropic PEGDA-ASF valve showed a lower maximum principle stress value (2.20 MPa) in commissures during diastole compared with that from the isotropic PEGDA-ISF valve (2.37 MPa). In the fully open state, the bending area of the PEGDA-ASF valve appeared in the belly portion and near the attachment line like native valves, however, which was close to free edges for the PEGDA-ISF valve. The Gauss curvature analysis also indicated that the anisotropic PEGDA-ASF valve can produce appropriate surface morphology by dynamically adjusting the movement of bending area during the opening process. Hence, anisotropy of PHVs with bio-inspired layered fibrous structures played important roles in mechanical and hydrodynamic behavior mimicking native heart valves.

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Section: Mechanical Testsmentioning

confidence: 99%

“…Shear modulus G 12 of the PEGDA-ASF sample was calculated by the Young's modulus along the direction of θ=45° [20]. In addition, vertical and axial strains of the samples were calculated based on the displacement of the markline during the tensile test, which also exhibited a linear relationship (Fig.…”

Section: Fea For Mechanical Behavior Of Phvsmentioning

confidence: 99%

Bio-inspired anisotropic polymeric heart valves exhibiting valve-like mechanical and hemodynamic behavior

et al. 2019

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“…Propp et al [27] introduced a new orthotropic electro-viscoelastic model for treatment of the heart with stress-assisted diffusion. Endo and De Carvalho Pereira [11] investigated this model for fibre reinforced thermoplastic material which has industrial applications based on Prony series.…”

Section: Introductionmentioning

confidence: 99%

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Singh

Koley

Chaki

2021

Int. J. Appl. Comput. Math

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This present paper deals with the generation and propagation of SH wave due to shearingstress discontinuity at the common interface of a linear orthotropic viscoelastic layer of finite thickness overlying linear orthotropic viscoelastic half-space. Laplace and Fourier transformations in combination with the modified Cagniard-De Hoop method have been adopted as the solution technique for the present problem. The free surface displacement field has been obtained in integral form for four distinct cases of shear-stress discontinuity (Case 1, 2, 3 and 4) at the common interface of stratum and substrate of the layered structure. Numerical computation and graphical demonstration have been carried out to observe the profound effects of various affecting parameters viz. time of disturbance, distance from the source of disturbance, attenuation parameter and angular frequency on free surface displacement field which serve as major highlights of the present study.

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“…Chakraborty et al 51 studied the strain of human ligament under uniaxial load with different strain rates. They used the five‐parameter Moni‐Rivlin model for the hyperelastic part and the Peroni series model for the visco part Endo and Pereira 52 developed a linear orthotropic viscoelasticity model based on the Peroni series for fiber‐reinforced thermoplastic materials and finally demonstrated its application in the injection molding industry. Huang et al 53 developed a constitutive peridynamic model for homogeneous deformed viscoelasticity materials.…”

Section: Introductionmentioning

confidence: 99%

Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory

Javadi

Darijani

Niknafs

2020

J of Applied Polymer Sci

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Double-network hydrogels with viscoelastic behavior are appropriate materials for biomechanical applications. In this article, the standard linear solid (SLS) rheological model for the linear viscoelastic materials is generalized to the viscoelastic materials with large nonlinear deformations. Based on this viewpoint, the constitutive equation is proposed as sum of two parts including the straindependent elastic stress, and the viscous stress, which depends on the strain and strain rate. The elastic part of the stress is modeled via considering a hyperelastic strain energy function, while the main core of the viscous stress part requires a time-dependent weight function to satisfy the long-term memory fading principle. In addition, the weight function is proposed such that it can capture the mechanical behavior trend corresponding to the strain and strain rate for a double-network hydrogel in the relaxation test. Finally, to evaluate the performance of the proposed constitutive equation for the mechanical behavior modeling of double-network hydrogels, the tests on these materials have been used, and the material parameters are determined from fitting the experimental results to the theory. The agreement of test and theory results showed that the proposed model is capable to model the mechanical behavior of double-network hydrogels.

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Linear orthotropic viscoelasticity model for fiber reinforced thermoplastic material based on Prony series

Cited by 20 publications

References 25 publications

Bio-inspired anisotropic polymeric heart valves exhibiting valve-like mechanical and hemodynamic behavior

Bio-inspired anisotropic polymeric heart valves exhibiting valve-like mechanical and hemodynamic behavior

Generation and Propagation of SH Waves Due to Shearing Stress Discontinuity in Linear Orthotropic Viscoelastic Layered Structure

Constitutive modeling of visco‐hyperelastic behavior of double‐network hydrogels using long‐term memory theory

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